A forest has a population of lynx and a population of mice. Let x represent the number of lynx (in hundreds) above some level, denoted with 0. So x = -3 corresponds NOT to an absence of lynx, but to a population that is 300 below the designated level of lynx. Similarly, let y represent the number of mice (in hundreds) above a level designated by zero. The following system models the two populations over time: x= -0.25x + y y' = -x+0.25y Solve the system using the initial conditions x (0) = 0 and y(0) = 1. x(t) = y(t) =

Graph the following system {-3x+y<1  -x+y<=2

Graph the following system of equations for all values of x indicated. 6x + 3y = 450 for x= 0 to x = 75 x+ 3y = 150 for x= 0 to x = 150 Choose the correct graph below. OA. В. OC. OD. AY AY 150 AY 150- 150 150 S(30,60) S(40,60) S80.20) S(60,30) 0- 0+ 150 150 150 150

You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica ($14/pound). You want to make a blend that costs $10/pound, and you want to make 50 pounds of it. You also want to be able to say "contains 20% Arabica" without lying. Set up and solve a linear system to find out how much of each type of coffee you should use, while spending the least money.